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Finding the Fourth Proportional to 7,137.24, 9,852.48 and 5,369.28

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Solution

The fourth proportional to 7,137.24, 9,852.48 and 5,369.28 is: 7,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.24 : 9,852.48 = 5,369.28 : x
  2. Step 2: Convert to fraction form
    7,137.24/9,852.48 = 5,369.28/x
  3. Step 3: Cross multiply
    7,137.24x = 9,852.48 × 5,369.28
  4. Step 4: Simplify right side
    7,137.24x = 52,900,723.81
  5. Step 5: Solve for x
    x = 52,900,723.81/7,137.24
  6. Step 6: Final answer
    x = 7,411.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.